Non-Measure Hyperbolicity of Complex K3 Surfaces
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866912047444262912 |
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| author | Cho, Gunhee Morrison, David R. |
| author_facet | Cho, Gunhee Morrison, David R. |
| contents | We show that the non-measure hyperbolicity of K3 surfaces -- which M. Green and P. Griffiths verified for certain cases in 1980 -- holds for all K3 surfaces. As a byproduct, we prove the non-measure hyperbolicity of any Hilbert schemes of points on K3 surfaces. We also obtain a new proof of the non-measure hyperbolicity of any Enriques surface. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_04288 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Non-Measure Hyperbolicity of Complex K3 Surfaces Cho, Gunhee Morrison, David R. Algebraic Geometry We show that the non-measure hyperbolicity of K3 surfaces -- which M. Green and P. Griffiths verified for certain cases in 1980 -- holds for all K3 surfaces. As a byproduct, we prove the non-measure hyperbolicity of any Hilbert schemes of points on K3 surfaces. We also obtain a new proof of the non-measure hyperbolicity of any Enriques surface. |
| title | Non-Measure Hyperbolicity of Complex K3 Surfaces |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2307.04288 |